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Finding the Fourth Proportional to 5,797.16, 7,999.94 and 3,313

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Solution

The fourth proportional to 5,797.16, 7,999.94 and 3,313 is: 4,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.16 : 7,999.94 = 3,313 : x
  2. Step 2: Convert to fraction form
    5,797.16/7,999.94 = 3,313/x
  3. Step 3: Cross multiply
    5,797.16x = 7,999.94 × 3,313
  4. Step 4: Simplify right side
    5,797.16x = 26,503,801.22
  5. Step 5: Solve for x
    x = 26,503,801.22/5,797.16
  6. Step 6: Final answer
    x = 4,571.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.